Final answer:
The U.S. Constitution's framers applied Montesquieu's ideas by establishing a separation of powers and checks and balances among the legislative, executive, and judicial branches to prevent the concentration of governmental power.
Step-by-step explanation:
The framers of the U.S. federal government applied the writings of Baron de Montesquieu by advocating for a separation of powers among the legislative, executive, and judicial branches. This concept was entrenched in the Constitution to prevent any one branch from becoming too powerful, thereby ensuring a balance of power among the different parts of the government. The structure of the government with this separation of powers and checks and balances was influenced by Montesquieu's Spirit of the Laws, which argued for a constitutional government that protected civil liberties and prevented the concentration of power.